Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer if necessary. If an answer does not exist, enter DNE.)
s(t) = 2t/sin(t)

Question

Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer if necessary. If an answer does not exist, enter DNE.)
s(t) =	2t/sin(t)

zepdrix · Answer

Hey Ian!
Welcome to OpenStudy!$$\large\rm s(t)=\frac{2t}{\sin t}$$We have asymptotic behavior when the bottom of this fraction is near zero.

zepdrix · Answer

$$\large\rm \sin t=0$$Do you know how to solve for the values of t from this point?

ianchondo · Answer

Nope, could you please explain. Thank you.

ianchondo · Answer

the answer that the book explains is like n times pi, I thought that mean 2 times pi.

zepdrix · Answer

Do you remember anything about your unit circle?
sine represents your y-coordinate.

zepdrix · Answer

|dw:1472946446707:dw|these are the two locations (within one rotation) where we have no y-coordinate.